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A note on an L-approach for solving the manufacturer's pallet loading problem

Author

Listed:
  • E G Birgin

    (University of São Paulo)

  • R Morabito

    (Federal University of São Carlos)

  • F H Nishihara

    (University of São Paulo)

Abstract

An L-approach for packing (l, w)-rectangles into an (L, W)-rectangle was introduced in an earlier work by Lins, Lins and Morabito. They conjecture that the L-approach is exact and point out its runtime requirements as the main drawback. In this note it is shown that, by simply using a different data structure, the runtime is considerably reduced in spite of larger (but affordable) memory requirements. This reduction is important for practical purposes since it makes the algorithm much more acceptable for supporting actual decisions in pallet loading. Intensive numerical experiments showing the efficiency and effectiveness of the algorithm are presented.

Suggested Citation

  • E G Birgin & R Morabito & F H Nishihara, 2005. "A note on an L-approach for solving the manufacturer's pallet loading problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 56(12), pages 1448-1451, December.
    • Handle: RePEc:pal:jorsoc:v:56:y:2005:i:12:d:10.1057_palgrave.jors.2601960
    DOI: 10.1057/palgrave.jors.2601960
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    References listed on IDEAS

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    1. R Morabito & S Morales, 1998. "A simple and effective recursive procedure for the manufacturer's pallet loading problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 49(8), pages 819-828, August.
    2. Dowsland, Kathryn A., 1987. "An exact algorithm for the pallet loading problem," European Journal of Operational Research, Elsevier, vol. 31(1), pages 78-84, July.
    3. L Lins & S Lins & R Morabito, 2003. "An L-approach for packing (ℓ, w)-rectangles into rectangular and L-shaped pieces," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 54(7), pages 777-789, July.
    4. Morabito, Reinaldo & Morales, Silvia Regina & Widmer, João Alexandre, 2000. "Loading optimization of palletized products on trucks," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 36(4), pages 285-296, December.
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    Cited by:

    1. Wei, Lijun & Hu, Qian & Lim, Andrew & Liu, Qiang, 2018. "A best-fit branch-and-bound heuristic for the unconstrained two-dimensional non-guillotine cutting problem," European Journal of Operational Research, Elsevier, vol. 270(2), pages 448-474.
    2. Adamos Daios & Nikolaos Kladovasilakis & Ioannis Kostavelis, 2024. "Mixed Palletizing for Smart Warehouse Environments: Sustainability Review of Existing Methods," Sustainability, MDPI, vol. 16(3), pages 1-15, February.
    3. Lu, Yiping & Cha, Jianzhong, 2014. "A fast algorithm for identifying minimum size instances of the equivalence classes of the Pallet Loading Problem," European Journal of Operational Research, Elsevier, vol. 237(3), pages 794-801.
    4. Martins, Gustavo H.A. & Dell, Robert F., 2007. "The minimum size instance of a Pallet Loading Problem equivalence class," European Journal of Operational Research, Elsevier, vol. 179(1), pages 17-26, May.
    5. E G Birgin & R D Lobato & R Morabito, 2010. "An effective recursive partitioning approach for the packing of identical rectangles in a rectangle," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 61(2), pages 306-320, February.
    6. G M Ribeiro & L A N Lorena, 2008. "Optimizing the woodpulp stowage using Lagrangean relaxation with clusters," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 59(5), pages 600-606, May.

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